Approximate multidegree reduction of \(\lambda\)-Bézier curves

DOI10.1155/2016/8140427zbMath1400.65013OpenAlexW2400436023WikidataQ59141269 ScholiaQ59141269MaRDI QIDQ1793629

Gang Hu, Huanxin Cao, Suxia Zhang

Publication date: 12 October 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/8140427

Mathematics Subject Classification ID

Numerical interpolation (65D05) Approximation by polynomials (41A10) Computer-aided design (modeling of curves and surfaces) (65D17)

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Cites Work

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• Construction of PH splines based on H-Bézier curves
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• A novel extension to the polynomial basis functions describing Bézier curves and surfaces of degree \(n\) with multiple shape parameters
• A novel generalization of Bézier curve and surface
• Application of Chebyshev II-Bernstein basis transformations to degree reduction of Bézier curves
• Approximate conversion of surface representations with polynomial bases
• A survey of curve and surface methods in CAGD
• Perturbing Béziercoefficients for best constrained degree reduction in the L2-norm
• Degree reduction of Bézier curves

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